Mandelbrot Fractal DimensionThe Mandelbrot Fractal Dimension (D) measures the  information density  and  path complexity  of price movements. It quantifies how much a price path fills the space between its starting and ending points:
 
   D ≈ 1.0 : Strong trending behavior (minimal complexity, high predictability)
   D ≈ 1.5 : Random walk behavior (maximum complexity, no structure)
   D > 1.5 : Mean-reverting behavior (high complexity, bounded movement)
 
Reference the given  link for documentation .
Mandelbrot
[-_-] 2D FractalsThe sole purpose of this script is to demonstrate what's possible to make with Pinescript, namely to display images (2D Fractals in this case). 
The script consists of two functions: one that generates the values of a fractal and one that displays them (utilising table) with each cell being used as a "pixel". We can control the "resolution" of image, as well as choose one of three fractal types.

